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What is the y-value of the vertex of the function f(x)=−(x−3)(x+11)? −8 −4 33 49

User Waquo
by
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2 Answers

2 votes

Answer:

D. 49

Explanation:

User Mooing Duck
by
8.6k points
3 votes

Answer:

y - value of the vertex is 49.

Explanation:

Given function is f(x) = -(x - 3)(x + 11)

f(x) = -(x² - 3x + 11x - 33)

= -(x² + 8x - 33)

= -(x² + 8x + 16 - 49)

= -[(x + 4)² - 49]

= -(x + 4)² + 49

Comparing this equation with the vertex form of a quadratic function,

f(x) = -(x - h)² + k

Where (h, k) is the vertex of the function.

Vertex of the parabola is (-4, 49)

Therefore, y-value of the vertex is 49.

User Sarang Shinde
by
8.0k points
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